Contents

Overview Chaotic behavior has been observed in the laboratory in a variety of systems including electrical circuitslasers , oscillating chemical reactionsfluid dynamics , and mechanical and magneto-mechanical devices. Observations of chaotic behaviour in nature include the dynamics of satellites in the

3. Chaos At Maryland Research group at the University of Maryland. Includes papers, gallery, database, abstracts, software, bibliography and contact.http://www-chaos.umd.edu/

The idea that many simple nonlinear deterministic systems can behave in an apparently unpredictable and chaotic manner was first noticed by the great French mathematician . Other early pioneering work in the field of chaotic dynamics were found in the mathematical literature by such luminaries as BirkhoffCartwrightLittlewoodLevinson ... Smale , and Kolmogorov and his students, among others. In spite of this, the importance of chaos was not fully appreciated until the widespread availability of digital computers for numerical simulations and the demonstration of chaos in various physical systems. This realization has broad implications for many fields of science, and it is only within the past decade or so that the field has undergone explosive growth. It is found that the ideas of chaos have been very fruitful in such diverse disciplines as biology, economics, chemistry, engineering, fluid mechanics, physics, just to name a few. Chaos is a multidisciplinary science, and this is reflected in the fact that the members of the group are affiliated with diverse departments and institutes:

Since the mid-1970s, the Chaos Group at Maryland has done extensive research in various areas of chaotic dynamics ranging from the theory of

4. Cookies Required chaos is a quarterly journal devoted to increasing the understanding of nonlinear phenomena and describing the manifestations in a manner comprehensible tohttp://chaos.aip.org/chaos/

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5. The Chaos Hypertextbook™ This page is a part of The chaos Hypertextbook  A four chapter book, fully updated and enhanced for the web. The theory behind the sumptuous images andhttp://hypertextbook.com/chaos/

6. Chaos Theory: A Brief Introduction What exactly is chaos? The name chaos theory comes from the fact that the systems that the theory describes are apparently disordered, but chaos theory ishttp://www.imho.com/grae/chaos/chaos.html

Chaos Theory: A Brief Introduction

What exactly is chaos? The name "chaos theory" comes from the fact that the systems that the theory describes are apparently disordered, but chaos theory is really about finding the underlying order in apparently random data. When was chaos first discovered? The first true experimenter in chaos was a meteorologist, named Edward Lorenz. In 1960, he was working on the problem of weather prediction. He had a computer set up, with a set of twelve equations to model the weather. It didn't predict the weather itself. However this computer program did theoretically predict what the weather might be. One day in 1961, he wanted to see a particular sequence again. To save time, he started in the middle of the sequence, instead of the beginning. He entered the number off his printout and left to let it run. When he came back an hour later, the sequence had evolved differently. Instead of the same pattern as before, it diverged from the pattern, ending up wildly different from the original. (See figure 1.) Eventually he figured out what happened. The computer stored the numbers to six decimal places in its memory. To save paper, he only had it print out three decimal places. In the original sequence, the number was .506127, and he had only typed the first three digits, .506. By all conventional ideas of the time, it should have worked. He should have gotten a sequence very close to the original sequence. A scientist considers himself lucky if he can get measurements with accuracy to three decimal places. Surely the fourth and fifth, impossible to measure using reasonable methods, can't have a huge effect on the outcome of the experiment. Lorenz proved this idea wrong.

8. Chaos chaos is from the Greek word Khaos, meaning gaping void . There are many explanations as to who or what chaos is, but most theories state that it was thehttp://www.pantheon.org/articles/c/chaos.html

Chaos

by Ron Leadbetter Chaos is from the Greek word Khaos, meaning "gaping void". There are many explanations as to who or what Chaos is, but most theories state that it was the void from which all things developed into a distinctive entity, or in which they existed in a confused and amorphous shape before they were separated into genera. In other words, Chaos is or was "nothingness." Though some ancient writers thought it was the primary source of all things, other writers tell of Gaia (Earth) being born from Chaos without a mate, along with Eros and Tartarus . Then from Gaia came Uranus (Heaven or Sky) which gave us Heaven and Earth. Chaos has been described as the great void of emptiness within the universe from which Eros came and it was he who gave divine order and also perfected all things. In later times it was written that Chaos was a confused shapeless mass from which the universe was developed into a cosmos, or harmonious order. For instance, Hesiod's Theogony says that Erebus and Black Night ( Nyx ) were born of Chaos, and Ovid the Roman writer described Chaos as an unordered and formless primordial mass. The first

9. The Chaos Experience chaos theory attempts to explain the fact that complex and unpredictable results can and will occur in systems that are sensitive to their initialhttp://library.thinkquest.org/3120/

"An awe-inspiring book. Reading it gave me that sensation that someone had just found the light switch." Douglas Adams "This is a stunning work, a deeply exciting subject in the hands of a first-rate science writer. The implications of the research James Gleick sets forth are breathtaking."-Barry Lopez The book and the audiotape at a discount from Amazon. Nature's ChaosChaos: The Software More chaos links:

"Gleick's Chaos is not only enthralling and precise, but full of beautifully strange and strangely beautiful ideas."-Douglas Hofstadter "I was caught up and swept along by the flow of this astonishing chronicle of scientific thought. It has been a long, long time since I finished a book and immediately started reading it all over again for sheer pleasure.-Lewis Thomas From the Prologue: T he police in the small town of Los Alamos, New Mexico, worried briefly in 1974 about a man seen prowling in the dark, night after night, the red glow of his cigarette floating along the back streets. He would pace for hours, heading nowhere in the starlight that hammers down through the thin air of the mesas. The police were not the only ones to wonder. At the national laboratory some physicists had learned that their newest colleague was experimenting with twenty-six-hour days, which meant that his waking schedule would slowly roll in and out of phase with theirs. This bordered on strange, even for the Theoretical Division.

11. Club Chaos - Chaosdc.com Club chaos is Washington, DC s most diverse gay nightclub. Find out more information about the club, restaurant, special events, and all our weeklyhttp://www.chaosdc.com/

WELCOME TO D.C.'S MOST FUN AND MOST DIVERSE PLACE! We are Sorry .......Currently We Are Closed For Renovations and Re-Locating We Are In The Process of Finding a New Location .... Please check back soon for the latest information. Thank you for your support and God Bless.

12. Chaos -- From Wolfram MathWorld chaos is a tricky thing to define. In fact, it is much easier to list properties that a system described as chaotic has rather than to give a precisehttp://mathworld.wolfram.com/Chaos.html

AlgebraApplied MathematicsCalculus and AnalysisDiscrete Mathematics ... Interactive DemonstrationsChaos "Chaos" is a tricky thing to define. In fact, it is much easier to list properties that a system described as "chaotic" has rather than to give a precise definition of chaos. Gleick (1989, p. 306) notes that "No one [of the chaos scientists he interviewed] could quite agree on [a definition of] the word itself," and so instead gives descriptions from a number of practitioners in the field. For example, he quotes Philip Holmes (apparently defining "chaotic") as, "The complicated aperiodic attracting orbits of certain, usually low-dimensional dynamical systems." Similarly, he quotes Bai-Lin Hao describing chaos (roughly) as "a kind of order without periodicity." It turns out that even textbooks devoted to chaos do not really define the term. For example, Wiggins (1990, p. 437) says, "A dynamical system displaying sensitive dependence on initial conditions on a closed invariant set (which consists of more than one orbit) will be called chaotic ." Tabor (1989, p. 34) says, "By a chaotic solution to a deterministic equation we mean a solution whose outcome is very sensitive to initial conditions (i.e., small changes in initial conditions lead to great differences in outcome) and whose evolution through phase space appears to be quite random." Finally, Rasband (1990, p. 1) says, "The very use of the word 'chaos' implies some observation of a system, perhaps through measurement, and that these observations or measurements vary unpredictably. We often say observations are chaotic when there is no discernible regularity or order."

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14. The Chaos Project Links to publication database, people involved in the program, sites of interest and areas of research.http://www.cs.umd.edu/projects/hpsl.html

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NewsPresentationsCorporate BrochureActive Filter Detection ... LinksCHAOS/openMosix Linux Cluster Distribution What is CHAOS - the supercomputer for your wallet? CHAOS is a tiny (6Mbyte) Linux distribution, that will boot any 586/Pentium (or better) computer into a working openMosix node, without disturbing (or even touching) the contents of the local hard disk. CHAOS aims to be the fastest, most compact, secure and straight-forward openMosix cluster platform available. Why the name CHAOS CHAOS was a groovy word that ended in OS. This name also best represented the notion of an ad-hoc cluster constructed from nodes that may only ever provide a temporary / intermittent capacity to the over-all cluster environment. The legacy project name has been retained for community consistency. What is the purpose of CHAOS/openMosix? CHAOS is built around the open source project openMosix created by Moshe Bar. openMosix, itself, is a piece of software that is added to the Linux Kernel, to allow many Linux computers to work together as a Single System Image (SSI) type cluster.

Part 7: Further Topics

[Return to Home Page] Last modified Monday, March 6, 2000 Michael Cross

17. Chaos! Comics Welcome to the return of chaos! Comics and chaoscomics.com! We ve been away for awhile, but that s about to change. Soon you ll see the return of Evil Erniehttp://www.chaoscomics.com/

Sample Research Access Registration Form If you would like to access our sample research, we ask that you first register. The information you provide will not be shared with any third parties. Read our for more information. Please complete all fields before submitting this registration form ( indicates required fields First Name: Last Name: Title: Organization: Classification: Please Select Student Sole Proprietor/Practioner Small Business Medium/Large Organization Other School Name: Student ID #: E-mail: Telephone: Newsletter: Please send me a sample copy of the CHAOS Activity Newsletter

C A L H I K I N G A N D O U T D O O R S S O C I E T Y join CHAOSmembershipemail list helpactivity calendar ... f.a.q.Founded in 1917, CHAOS is a group of UC Berkeley students, staff, Berkeley area residents and assorted other friendly souls who meet regularly to experience the outdoors and have fun. We meet Wednesdays at La Val's/ La Burrita Northside for food, beer and to discuss trip plans. More formal meetings are held on the third Wednesday of each month and include events such as slideshows and educational lectures on outdoor-related topics. Check the calendar for details on the next meeting. Members can also sign up for the club email list to receive information on upcoming trips, trip reports, and monthly meetings. CHAOS itself does not organize trips (or screen members, or guarantee the safety of its gear), but serves as a forum for people to meet like-minded souls and find ways to experience the outdoors. document.write("last modified: "+document.lastModified) feedbackidiom.com

20. Autonomous Solutions, Inc. - Chaos™ Home The basic chaos platform is fully JAUS compatible. chaos has the volume and chaos, weighing in at 120 pounds, has more torque and payload capacity thanhttp://www.autonomoussolutions.com/products/products-main/chaos-home.html

Chaos is a robotic platform with four configurable and independently controlled tracks. Its superior design allows it to go where no other robotic platform of its size can go. It can handle terrain like stairs, train tracks, rubble piles, gravel, and steep grades of loose debris. It was recently tested at Disaster City in Texas, the premier search and rescue training ground. There, in some of the most difficult terrain a robot will encounter, Chaos demonstrated its superior mobility. Chaos, weighing in at 120 pounds, has more torque and payload capacity than any robot in its weight range. It uses an ultra-efficient motor and gearbox design to acheive impressive torque and an operational battery life of three hours. The design also makes it very quiet, with virtually no gear or motor noise.